EULERIAN FINITE VOLUME FORMULATION USING LAGRANGIAN MARKER PARTICLES FOR COMPRESSIBLE SOLID ANALYSIS

Abstract

We propose a finite volume formulation for compressible solid using marker particles on the Eulerian mesh based on the building-cube method, which can generate computational meshes automatically and quickly for complex geometries. Velocity boundary conditions at solid interfaces are imposed using marker particles that interpolate velocity to the Eulerian mesh. The validity of the proposed method is verified by tensile and shear analysis of a circular plate with holes. We also clarify the spatial mesh resolution, the spatial density of marker particles, and the compute cost to obtain a certain computational accuracy. We demonstrate that the proposed method can compute a car body stiffness analysis in 3.6 hours, which is much shorter than turnaround time by the conventional finite element method.